// Copyright 2019 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. //go:build !go1.20 package curve25519 import ( "crypto/subtle" "errors" "strconv" "golang.org/x/crypto/curve25519/internal/field" ) func scalarMult(dst, scalar, point *[32]byte) { var e [32]byte copy(e[:], scalar[:]) e[0] &= 248 e[31] &= 127 e[31] |= 64 var x1, x2, z2, x3, z3, tmp0, tmp1 field.Element x1.SetBytes(point[:]) x2.One() x3.Set(&x1) z3.One() swap := 0 for pos := 254; pos >= 0; pos-- { b := e[pos/8] >> uint(pos&7) b &= 1 swap ^= int(b) x2.Swap(&x3, swap) z2.Swap(&z3, swap) swap = int(b) tmp0.Subtract(&x3, &z3) tmp1.Subtract(&x2, &z2) x2.Add(&x2, &z2) z2.Add(&x3, &z3) z3.Multiply(&tmp0, &x2) z2.Multiply(&z2, &tmp1) tmp0.Square(&tmp1) tmp1.Square(&x2) x3.Add(&z3, &z2) z2.Subtract(&z3, &z2) x2.Multiply(&tmp1, &tmp0) tmp1.Subtract(&tmp1, &tmp0) z2.Square(&z2) z3.Mult32(&tmp1, 121666) x3.Square(&x3) tmp0.Add(&tmp0, &z3) z3.Multiply(&x1, &z2) z2.Multiply(&tmp1, &tmp0) } x2.Swap(&x3, swap) z2.Swap(&z3, swap) z2.Invert(&z2) x2.Multiply(&x2, &z2) copy(dst[:], x2.Bytes()) } func scalarBaseMult(dst, scalar *[32]byte) { checkBasepoint() scalarMult(dst, scalar, &basePoint) } func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) { var in [32]byte if l := len(scalar); l != 32 { return nil, errors.New("bad scalar length: " + strconv.Itoa(l) + ", expected 32") } if l := len(point); l != 32 { return nil, errors.New("bad point length: " + strconv.Itoa(l) + ", expected 32") } copy(in[:], scalar) if &point[0] == &Basepoint[0] { scalarBaseMult(dst, &in) } else { var base, zero [32]byte copy(base[:], point) scalarMult(dst, &in, &base) if subtle.ConstantTimeCompare(dst[:], zero[:]) == 1 { return nil, errors.New("bad input point: low order point") } } return dst[:], nil } func checkBasepoint() { if subtle.ConstantTimeCompare(Basepoint, []byte{ 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, }) != 1 { panic("curve25519: global Basepoint value was modified") } }